对称群圈积的Specht模分支定则
Specht module branching rules for wreath products of symmetric groups
摘要：
本文讨论了两个对称群的圈积S（m）wr S（n）的一类模，它们类似于对称群的Specht模，并证明了这类模的一对分支规则.这些分支规则描述了这些环积Specht模在限制于圈积S（m-1）wr S（n）和S（m）wr S（n-1）下的行为.特别是，我们看到，这些限制的圈积Specht模块有Specht模块filtrations，我们得到组合解释的多重性，在这些filtrations。
英文摘要：
We review a class of modules for the wreath product S(m) wr S(n) of two symmetric groups which are analogous to the Specht modules of the symmetric group, and prove a pair of branching rules for this family of modules. These branching rules describe the behaviour of these wreath product Specht modules under restriction to the wreath products S(m-1) wr S(n) and S(m) wr S(n-1). In particular, we see that these restrictions of wreath product Specht modules have Specht module filtrations, and we obtain combinatorial interpretations of the multiplicities in these filtrations.
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